Perturbative quantization of two-dimensional space-time noncommutative QED

2009/11/18 by M. Ghasemkhani, N. Sadooghi · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Commutation #Cosmology and Gravitation Theories #Coupling (piping) #Coupling constant #Fermion #Lagrangian #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Order (exchange) #Physics #Quantization (signal processing) #Quantum field theory #Quantum mechanics #hep-th

paper · pdf · doi:10.1103/physrevd.81.045014

published as Phys.Rev.D81:045014,2010 · 22 pages, no figures

arxiv created 2009/11/18 · openalex publication_date 2010/02/18 · arxiv updated 2011/08/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using the method of perturbative quantization in the first order approximation, we quantize a nonlocal QED-like theory including fermions and bosons whose interactions are described by terms containing higher order space-time derivatives. As an example, the two-dimensional space-time noncommutative QED (NC-QED) is quantized perturbatively up to O(e²,\ensuremathθ³), where e is the NC-QED coupling constant and \ensuremathθ is the noncommutativity parameter. The resulting modified Lagrangian density is shown to include terms consisting of first order time-derivative and higher order space-derivatives of the modified field variables that satisfy the ordinary equal-time commutation relations up to O(e²,\ensuremathθ³). Using these commutation relations, the canonical current algebra of the modified theory is also derived.

Citations

• Canonical analysis of space-time noncommutative theories and gauge symmetries
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Cited by

• Perturbative effective action for the photon in noncommutative QED2 and exactness of the Schwinger mass